1. A scale typically measures the weight of the object on top of it, but actually the weight force is the force of gravity between the object and the Earth. The scale is not part of that interaction, so the scale cannot directly measure the weight. Instead, the scale measures the normal force applied to it, which is not necessarily equal to an object's weight. This means that we can use physics to "trick" a scale into having an incorrect reading. A turtle that weighs 16lbs. is placed on a scale inside an elevator. a) What is the mass of this turtle, in slugs? b) Draw a free body diagram for the turtle and write down Newton's 2nd Law, applied to your diagram. Leave it in symbolic form for now - below, you will plug in numbers. For each of the following scenarios, determine the scale's reading in pounds. You should be thinking about how these answers compare to the fact that the turtle's actual weight is always still 16lbs. c) Elevator is standing still d) Elevator is accelerating downward at 8 ft./s² e) Elevator is moving upward at a constant velocity of 12 ft./s

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
icon
Related questions
Topic Video
Question
CAN someone please help me solve this I am having some problems with these questions .they are under the same question
1. A scale typically measures the weight of the object on top of it, but actually the weight force is the force of gravity between the object and the Earth. The scale is not part of that interaction, so the scale cannot directly measure the weight. Instead, the scale measures the normal force applied to it, which is not necessarily equal to an object’s weight. This means that we can use physics to “trick” a scale into having an incorrect reading.

A turtle that weighs 16 lbs. is placed on a scale inside an elevator.
a) What is the mass of this turtle, in slugs?

b) Draw a free body diagram for the turtle and write down Newton’s 2nd Law, applied to your diagram. Leave it in symbolic form for now – below, you will plug in numbers.

For each of the following scenarios, determine the scale’s reading in pounds. You should be thinking about how these answers compare to the fact that the turtle’s actual weight is always still 16 lbs.
c) Elevator is standing still

d) Elevator is accelerating downward at \(8 \, \text{ft/s}^2\)

e) Elevator is moving upward at a constant velocity of 12 ft/s
Transcribed Image Text:1. A scale typically measures the weight of the object on top of it, but actually the weight force is the force of gravity between the object and the Earth. The scale is not part of that interaction, so the scale cannot directly measure the weight. Instead, the scale measures the normal force applied to it, which is not necessarily equal to an object’s weight. This means that we can use physics to “trick” a scale into having an incorrect reading. A turtle that weighs 16 lbs. is placed on a scale inside an elevator. a) What is the mass of this turtle, in slugs? b) Draw a free body diagram for the turtle and write down Newton’s 2nd Law, applied to your diagram. Leave it in symbolic form for now – below, you will plug in numbers. For each of the following scenarios, determine the scale’s reading in pounds. You should be thinking about how these answers compare to the fact that the turtle’s actual weight is always still 16 lbs. c) Elevator is standing still d) Elevator is accelerating downward at \(8 \, \text{ft/s}^2\) e) Elevator is moving upward at a constant velocity of 12 ft/s
**Scenarios for Determining Scale Readings for a Turtle in an Elevator**

The actual weight of the turtle is always 16 lbs.

c) **Elevator is standing still**  
- In this scenario, the scale will show the turtle's true weight, 16 lbs, as there is no acceleration affecting the reading.

d) **Elevator is accelerating downward at 8 ft/s²**  
- When the elevator accelerates downward, the apparent weight decreases. The scale reading will be less than 16 lbs.

e) **Elevator is moving upward at a constant velocity of 12 ft/s**  
- With constant velocity, there is no change in force due to acceleration. The scale will read the true weight of the turtle, 16 lbs.

f) **Elevator begins at rest and accelerates upward at a rate such that it moves 48 ft over the next 4 seconds**  
- To find the acceleration, use the formula:  
  Distance = (1/2) * acceleration * time²  
  Solving for acceleration gives 6 ft/s².  
  The apparent weight on the scale will be more than 16 lbs due to the upward acceleration.

g) **Elevator cable is cut!**  
- The elevator is in free fall, and the scale reads zero as both the turtle and the scale are accelerating downward at the same rate.
Transcribed Image Text:**Scenarios for Determining Scale Readings for a Turtle in an Elevator** The actual weight of the turtle is always 16 lbs. c) **Elevator is standing still** - In this scenario, the scale will show the turtle's true weight, 16 lbs, as there is no acceleration affecting the reading. d) **Elevator is accelerating downward at 8 ft/s²** - When the elevator accelerates downward, the apparent weight decreases. The scale reading will be less than 16 lbs. e) **Elevator is moving upward at a constant velocity of 12 ft/s** - With constant velocity, there is no change in force due to acceleration. The scale will read the true weight of the turtle, 16 lbs. f) **Elevator begins at rest and accelerates upward at a rate such that it moves 48 ft over the next 4 seconds** - To find the acceleration, use the formula: Distance = (1/2) * acceleration * time² Solving for acceleration gives 6 ft/s². The apparent weight on the scale will be more than 16 lbs due to the upward acceleration. g) **Elevator cable is cut!** - The elevator is in free fall, and the scale reads zero as both the turtle and the scale are accelerating downward at the same rate.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 3 images

Blurred answer
Knowledge Booster
First law of motion
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON